Can I sue my Insurance Company for failing to notify me that my policy was going to elapse?

For many years, I would pay my policy timely after reception of the ';Payment Due'; notification from the Insurance Company. I just found out that last year they did not send the notification, so I did not pay the policy last year, and the policy lapse. And they did not mention it to me until I asked about the policy's condition this year after I noticed I did not receive a notification. Now they are saying that if I want a policy again, it will have to be a new one. Is it possible to fight this and make it be a continuation of the original one?